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( * ) If sin a + cosec a = 2, then sin^n a + cosec^n a =

( * )
If sin a + cosec a = 2, then sin^n a + cosec^n a =

Grade:11

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
6 years ago
Hi,

Just solve the first expression. If you simplify it you will get [SINa-1]^2 = 0
i.e. SIN a = 1.

Now put this value in the second expression.
You will get 2 as answer.

( Dont forget to use : COSEC x= 1/SINx )

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